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Finding the Third Proportional to 611,480 and 926,454

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Solution

The third proportional to 611,480 and 926,454 is: 1,403,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,480 : 926,454 = 926,454 : x
  2. Step 2: Convert to fraction form
    611,480/926,454 = 926,454/x
  3. Step 3: Cross multiply
    611,480x = 926,454 × 926,454
  4. Step 4: Simplify right side
    611,480x = 858,317,014,116
  5. Step 5: Solve for x
    x = 858,317,014,116/611,480
  6. Step 6: Final answer
    x = 1,403,671.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.